Greatest Common Factor of 7603/68, 9435/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7603/68, 9435/189

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7603/68,9435/189

Given fractions are 7603/68,9435/189

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7603,9435

Greatest Common Factor of Numerators i.e. GCF of 7603,9435 is 1 .

LCM of Denominators means LCM of 68,189 as per the given fractions.

LCM of 68,189 is 12852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7603,9435

GCF of Fractions 7603/68,9435/189 is 1/12852

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7603,9435 By Matching Biggest Common Factor Method

Greatest Common Factor of 7603,9435 By Matching Biggest Common Factor Method

Factors of 7603

List of positive integer factors of 7603 that divides 7603 without a remainder.

1,7603

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Greatest Common Factor

We found the factors 7603,9435 . The biggest common factor number is the GCF number.
So the greatest common factor 7603,9435 is 1.

Lets's calculate LCM of 68,189

Given numbers has no common factors except 1. So, there LCM is their product i.e 12852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12852

Therefore, the GCF of Fractions 7603/68,9435/189 is 1/12852

Least Common Multiple of 68,189 with GCF Formula

Least Common Multiple of 68,189 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 68,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,189) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(68,189) x common factors =1 x 1 = 1

LCM(68,189) = ( 68 × 189 ) / 1

LCM(68,189) = 12852 / 1

LCM(68,189) = 12852


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7603/68, 9435/189

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7603/68, 9435/189?

Answer: GCF of Numerators as per given numbers 7603/68, 9435/189 is

GCF of Numerators i.e. for 7603,9435 is 1

LCM of denominators i.e. for 68,189 is 12852.

Thus, GCF of Fractions is 1/12852.Finally, GCF of Fractions for 7603/68, 9435/189 is 1/12852.